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Finding the Fourth Proportional to 11,448.71, 15,799.30 and 6,412.99

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Solution

The fourth proportional to 11,448.71, 15,799.30 and 6,412.99 is: 8,849.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,448.71 : 15,799.30 = 6,412.99 : x
  2. Step 2: Convert to fraction form
    11,448.71/15,799.30 = 6,412.99/x
  3. Step 3: Cross multiply
    11,448.71x = 15,799.30 × 6,412.99
  4. Step 4: Simplify right side
    11,448.71x = 101,320,763.07
  5. Step 5: Solve for x
    x = 101,320,763.07/11,448.71
  6. Step 6: Final answer
    x = 8,849.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.